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</span>\u011e\u0190\u0189 \u0102 \u0115 \u017d \u0190\ue003</div><div class="t m0 xb h7 y1a ff4 fs3 fc5 sc0 ls0 ws5">\u0175\u01b5\u0190\u011e\u017d\u016f\u017f\u0150\u015d\u0110\u017d\u0190\u0358\ue003</div><div class="t m0 xb h9 y1b ff5 fs5 fc3 sc1 ls0 wsb">8(0\ue003H\ue003%&,\ue003UHQRYDP\ue003SDUFHULD</div><div class="t m0 xb h9 y1c ff5 fs5 fc3 sc1 ls0 wsc">0DSXWR\ue003DFROKH\ue0036HPLQiULR\ue0035HJLRQDO\ue003</div><div class="t m0 xb h9 y1d ff5 fs5 fc3 sc1 ls0 wsd">VREUH\ue003R\ue003&DUERQR\ue003GRV\ue0030DQJDLV</div><div class="t m1 xc ha y1e ff6 fs6 fc1 sc0 ls0 wse">81,9(56,'$'(</div><div class="t m0 xc hb y1f ff6 fs7 fc1 sc0 ls0 wsf">( ' 8<span class="_4 blank"> </span>$ 5 ' 2</div><div class="t m0 xc hc y20 ff6 fs8 fc1 sc0 ls0">021'/$1(</div><div class="t m0 x9 hd y21 ff7 fs9 fc2 sc0 ls0 ws10">\ue011\u017d\u016f\u011e\u019f\u0175\ue003/\u0176\u0128\u017d\u018c\u0175\u0102\u019f\u01c0<span class="_1 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data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg2.png"><div class="t m0 xf h10 y27 ff9 fsc fc8 sc0 ls0">Outline</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0">Outline</div><div class="t m0 x10 h12 y29 ff9 fsc fc9 sc0 ls1">1<span class="ff8 fsb fc1 ls0 ws17 v1">Processos<span class="_9 blank"> </span>de<span class="_9 blank"> </span>P<span class="_1 blank"></span>oisson</span></div><div class="t m0 x11 hf y2a ff8 fsb fc1 sc0 ls0 ws17">Distribuições<span class="_9 blank"> </span>Associadas</div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">2 / 16</span></div><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:156.280000px;bottom:266.132000px;width:21.691000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:17.211000px;bottom:139.185000px;width:79.378000px;height:8.013000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:25.179000px;bottom:128.365000px;width:88.301000px;height:9.020000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg3.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de contagem</div><div class="t m0 x10 hf y2b ff8 fsb fc0 sc0 ls0 ws14">Processos de contagem</div><div class="t m0 x10 hf y2c ff8 fsb fc6 sc0 ls0 ws1a">Um<span class="_b blank"> </span>processo<span class="_b blank"> </span>estocástico<span class="_b blank"> </span>é<span class="_b blank"> </span>um<span class="_b blank"> </span><span class="ffb">processo<span class="_b blank"> </span>de<span class="_b blank"> </span>contagem<span class="_b blank"> </span><span class="ffc ws1b">{<span class="ffd ls2">X</span><span class="ffe ws1c">(<span class="ffd ls3">t</span><span class="ws1d">); <span class="ffd ls4">t</span></span></span><span class="ls5">\u2265</span></span></span><span class="ls6">0<span class="ffc ls7">}</span></span><span class="ws1e">se <span class="ffd ls8">X</span><span class="ffe ws1c">(<span class="ffd ls3">t</span><span class="ls9">)</span></span><span class="ws1f">é o número de</span></span></div><div class="t m0 x10 hf y2d ff8 fsb fc6 sc0 ls0 ws14">acontecimentos em <span class="ffe ws1c">(</span><span class="ls6">0<span class="fff lsa">,<span class="ffd ls3">t<span class="ffe lsb">]</span></span></span></span>.</div><div class="t m0 x10 hf y2e ff8 fsb fc6 sc0 ls0 ws14">Ou seja, um <span class="ff10 ws20">p<span class="_1 blank"></span>ro cesso<span class="_9 blank"> </span>de<span class="_9 blank"> </span>contagem<span class="_9 blank"> </span><span class="ff8 ws14">é um p<span class="_1 blank"></span>ro<span class="_3 blank"> </span>cesso estocástico <span class="ffc ws1b">{<span class="ffd lsc">N<span class="fse lsd v1">t</span></span>}<span class="ffd fse lse v2">t<span class="ff11 ls0 ws21">><span class="ff12 lsf">0</span></span></span></span>tal que:</span></span></div><div class="t m0 x11 hf y2f ff8 fsb fc6 sc0 ls0 ws14">po<span class="_3 blank"> </span>de ser em temp<span class="_3 blank"> </span>o discreto ou contínuo</div><div class="t m0 x11 hf y30 ff8 fsb fc6 sc0 ls0 ws14">tem espaço de estados <span class="ffd ls10">S<span class="ffe ls11">=</span></span><span class="ffc ws1b">{</span><span class="ls6">1<span class="fff lsa">,</span>2<span class="fff lsa">,</span>3<span class="fff ls12 ws22">,...<span class="_5 blank"></span><span class="ffc ls0">}</span></span></span></div><div class="t m0 x11 hf y31 ffd fsb fc6 sc0 lsc">N<span class="fse ls13 v1">t</span><span class="ff8 ls0 ws14">é função não decrescente de <span class="ffd">t</span></span></div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">3 / 16</span></div><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg4.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de contagem de Ma<span class="_1 blank"></span>rkov</div><div class="t m0 x10 hf y32 ff8 fsb fc0 sc0 ls0 ws14">Processos de contagem de Markov</div><div class="t m0 x10 hf y33 ff8 fsb fc6 sc0 ls0 ws17">Processo<span class="_9 blank"> </span>de<span class="_9 blank"> </span>contagem<span class="_c blank"> </span><span class="ffd lsc">N<span class="fse ls13 v1">t</span></span><span class="ws14">satisfazendo a prop<span class="_1 blank"></span>riedade de Ma<span class="_1 blank"></span>rkov:</span></div><div class="t m0 x13 h13 y34 ffd fsb fc6 sc0 ls14">P<span class="ffe ls15">(</span><span class="ls0 ws1c">N<span class="fse ls16 v1">t</span><span class="ffe ls11">=</span><span class="ls17">k<span class="ffc ls18">|</span><span class="lsc">N</span></span><span class="fse ws21 v1">t</span><span class="ff9 fsc ls19 v3">1</span><span class="ffe ls11">=</span>x<span class="ff12 fse ls1a v2">1</span></span><span class="fff ls12 ws22">,...,</span><span class="ls0 ws1c">N<span class="fse ls1b v1">t</span><span class="fsc ls1c v3">n</span><span class="ffe ls11">=</span>x<span class="fse ls1d v1">n</span><span class="ffe ws23">) = </span></span>P<span class="ffe ls15">(</span><span class="ls0 ws1c">N<span class="fse ls16 v1">t</span><span class="ffe ls11">=</span><span class="ls17">k<span class="ffc ls18">|</span><span class="lsc">N</span></span><span class="fse ws21 v1">t</span><span class="fsc ls1e v3">n</span><span class="ffe ls1f">=</span><span class="ls20">x<span class="fse ls1d v1">n</span></span><span class="ffe">)<span class="fff ls21">,</span></span>t<span class="ff12 fse ls22 v2">1</span><span class="fff ls11"><</span>t<span class="ff12 fse ls23 v2">2</span><span class="fff ls11"><</span></span><span class="ffc ls12 ws24">··· <span class="fff ls11"><</span></span><span class="ls0 ws1c">t<span class="fse ls24 v1">n</span><span class="fff ls11"><</span>t</span></div><div class="t m0 x10 hf y35 ff8 fsb fc6 sc0 ls0 ws14">A maior p<span class="_1 blank"></span>rate dos p<span class="_1 blank"></span>ro<span class="_3 blank"> </span>cessos de contagem de interesse são de Mark<span class="_1 blank"></span>ov.</div><div class="t m0 x10 hf y36 ff8 fsb fc0 sc0 ls0 ws14">Probabilidade de interesse</div><div class="t m0 x10 hf y37 ff8 fsb fc6 sc0 ls0 ws14">Num processo de contagem de Mark<span class="_1 blank"></span>ov:</div><div class="t m0 x14 h13 y38 ffd fsb fc6 sc0 ls0 ws1c">p<span class="fse ls25 v2">k<span class="ff13 ls26">,</span>k<span class="ffe ls27">+</span><span class="ls1d">n</span></span><span class="ffe">(</span><span class="ls28">s<span class="fff lsa">,</span><span class="ls3">t</span></span><span class="ffe ws23">) = </span><span class="ls14">P<span class="ffe ls15">(</span></span>N<span class="fse ls29 v1">t</span><span class="ffc ls2a">\u2212</span>N<span class="fse ls2b v1">s</span><span class="ffe ls11">=</span><span class="ls2c">n<span class="ffc ls18">|</span><span class="lsc">N<span class="fse ls2d v1">s</span><span class="ffe ls11">=</span><span class="ls17">k</span></span></span><span class="ffe">)</span></div><div class="t m0 x11 hf y39 ff8 fsb fc6 sc0 ls0 ws14">Probabilidade do número de eventos entre <span class="ffd ls2e">s</span><span class="ls2f">e<span class="ffd ls30">t</span></span><span class="ws25">ser <span class="ffd ls2c">n</span></span>, sabendo que o número de eventos até</div><div class="t m0 x11 hf y3a ffd fsb fc6 sc0 ls2e">s<span class="ff8 ls2f">é</span><span class="ls17">k<span class="ff8 ls0 ws14">, com </span><span class="ls31">s<span class="fff ls11"><</span><span class="ls3">t<span class="ff8 ls0">.</span></span></span></span></div><div class="t m0 x11 hf y3b ff8 fsb fc6 sc0 ls0 ws14">T<span class="_d blank"></span>rata-se de uma probabilidade de transição (p<span class="_d blank"></span>robabilidade condicional)</div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">4 / 16</span></div><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg5.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de contagem</div><div class="t m0 x10 hf y3c ff8 fsb fc0 sc0 ls0 ws14">Distribuição marginal de <span class="ffd lsc">N<span class="fse ls0 v1">t</span></span></div><div class="t m0 x10 hf y3d ff8 fsb fc6 sc0 ls0 ws26">Assumindo <span class="ffd lsc">N<span class="ff12 fse ls23 v2">0</span><span class="ffe ls1f">=</span></span>0</div><div class="t m0 x15 hf y3e ffd fsb fc6 sc0 ls32">p<span class="fse ls1d v1">n</span><span class="ffe ls0 ws1c">(</span><span class="ls3">t<span class="ffe ls0 ws23">) = </span><span class="ls33">P<span class="ffe ls0 ws1c">(<span class="ffd">N<span class="fse ls16 v1">t</span></span><span class="ls11">=</span></span><span class="ls34">n<span class="ffe ls0 ws23">) = </span><span class="ls0 ws1c">p<span class="ff12 fse ls35 v2">0<span class="ff13 ls0 ws27">,<span class="ffd ls36">n</span></span></span><span class="ffe">(<span class="ff8 ls6">0<span class="fff lsa">,</span></span></span><span class="ls37">t</span><span class="ffe">)</span></span></span></span></span></div><div class="t m0 x10 hf y3f ff8 fsb fc0 sc0 ls0 ws14">Distribuição marginal do incremento <span class="ffd lsc">N<span class="fse ls29 v1">t</span><span class="ffc ls38">\u2212</span>N<span class="fse ls0 v1">s</span></span></div><div class="t m0 x10 hf y40 ff8 fsb fc6 sc0 ls0 ws14">Pelo teo<span class="_d blank"></span>rema das probabilidades totais (<span class="ffd ws1c">N<span class="ff12 fse ls23 v2">0</span><span class="ffe ls11">=</span></span>0)</div><div class="t m0 x2 h13 y41 ffd fsb fc6 sc0 ls33">P<span class="ffe ls0 ws1c">(</span><span class="lsc">N<span class="fse ls29 v1">t</span><span class="ffc ls38">\u2212</span>N<span class="fse ls2b v1">s</span><span class="ffe ls1f">=</span><span class="ls2c">n<span class="ffe ls0 ws28">) =</span></span></span></div><div class="t m0 x16 h14 y42 ffe fse fc6 sc0 ls27">+<span class="ff14 ls0">\u221e</span></div><div class="t m0 x16 h15 y43 ff15 fsb fc6 sc0 ls0">X</div><div class="t m0 x16 h14 y44 ffd fse fc6 sc0 ls25">k<span class="ffe ls27">=<span class="ff12 ls0">0</span></span></div><div class="t m0 x17 h13 y41 ffd fsb fc6 sc0 ls33">P<span class="ffe ls0 ws1c">(<span class="ffd">N<span class="fse ls39 v1">t</span><span class="ffc ls38">\u2212</span><span class="lsc">N<span class="fse ls2b v1">s</span></span></span><span class="ls1f">=</span></span><span class="ls2c">n<span class="ffc ls18">|</span><span class="lsc">N<span class="fse ls2b v1">s</span><span class="ffe ls1f">=</span><span class="ls3a">k<span class="ffe ls0 ws1c">)</span><span class="ls14">P<span class="ffe ls15">(</span><span class="ls0 ws1c">N<span class="fse ls2b v1">s</span><span class="ffe ls11">=</span><span class="ls17">k</span><span class="ffe">)</span></span></span></span></span></span></div><div class="t m0 x18 h13 y45 ffe fsb fc6 sc0 ls0">=</div><div class="t m0 x16 h14 y46 ffe fse fc6 sc0 ls27">+<span class="ff14 ls0">\u221e</span></div><div class="t m0 x16 h15 y47 ff15 fsb fc6 sc0 ls0">X</div><div class="t m0 x16 h14 y48 ffd fse fc6 sc0 ls25">k<span class="ffe ls27">=<span class="ff12 ls0">0</span></span></div><div class="t m0 x17 h13 y45 ffd fsb fc6 sc0 ls32">p<span class="fse ls25 v2">k<span class="ff13 ls0 ws27">,</span>k<span class="ffe ls27">+</span><span class="ls1d">n</span></span><span class="ffe ls0 ws1c">(</span><span class="ls28">s<span class="fff lsa">,</span><span class="ls3">t<span class="ffe ls0 ws1c">)</span></span></span>p<span class="fse ls3b v2">k</span><span class="ffe ls0 ws1c">(</span><span class="ls28">s<span class="ffe ls0">)</span></span></div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">5 / 16</span></div><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[4,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg6.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de contagem homogéneos e estacioná<span class="_1 blank"></span>rios</div><div class="t m0 x10 hf y49 ff8 fsb fc0 sc0 ls0 ws14">Processos de contagem homogéneos</div><div class="t m0 x10 hf y4a ff8 fsb fc6 sc0 ls0 ws14">Se a probabilidade condicional</div><div class="t m0 x14 h13 y4b ffd fsb fc6 sc0 ls0 ws1c">p<span class="fse ls3c v2">k<span class="ff13 ls0 ws27">,<span class="ffd ls25">k<span class="ffe ls27">+</span><span class="ls1d">n</span></span></span></span><span class="ffe">(</span><span class="ls28">s<span class="fff lsa">,</span><span class="ls3">t</span></span><span class="ffe ws23">) = </span><span class="ls33">P</span><span class="ffe">(</span>N<span class="fse ls39 v1">t</span><span class="ffc ls38">\u2212</span><span class="lsc">N<span class="fse ls2d v1">s</span><span class="ffe ls11">=</span><span class="ls2c">n<span class="ffc ls18">|</span></span>N<span class="fse ls2b v1">s</span><span class="ffe ls1f">=</span><span class="ls3a">k</span></span><span class="ffe">)</span></div><div class="t m0 x10 hf y4c ff8 fsb fc6 sc0 ls0 ws14">depender ap<span class="_3 blank"> </span>enas do tamanho do intervalo <span class="ffe ws1c">(<span class="ffd ls3d">t<span class="ffc ls38">\u2212</span><span class="ls28">s</span></span><span class="ls15">)</span></span><span class="ls3e">,<span class="ffd ls3f">s<span class="fff ls11"><</span><span class="ls40">t</span></span></span>então o processo diz-se <span class="ff10">homogéneo</span></div><div class="t m0 x10 hf y4d ff8 fsb fc0 sc0 ls0 ws14">Processo de contagem estacionário</div><div class="t m0 x10 hf y4e ff8 fsb fc6 sc0 ls0 ws14">Se a probabilidade incondicional</div><div class="t m0 x19 h13 y4f ffd fsb fc6 sc0 ls14">P<span class="ffe ls15">(</span><span class="ls0 ws1c">N<span class="fse ls29 v1">t</span><span class="ffc ls2a">\u2212</span>N<span class="fse ls2b v1">s</span><span class="ffe ls11">=</span><span class="ls34">n</span><span class="ffe">)</span></span></div><div class="t m0 x10 hf y50 ff8 fsb fc6 sc0 ls0 ws17">depende<span class="_9 blank"> </span>apenas<span class="_9 blank"> </span>do<span class="_c blank"> </span>intervalo<span class="_9 blank"> </span><span class="ffe ws1c">(<span class="ffd ls3d">t<span class="ffc ls38">\u2212</span><span class="ls28">s</span></span>)</span><span class="ls41">,<span class="ffd ls31">s<span class="fff ls11"><</span><span class="ls3">t</span></span></span><span class="ws14">, então o processo é <span class="ff10 ws1c">estacioná<span class="_1 blank"></span>rio<span class="ff8">.</span></span></span></div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">6 / 16</span></div><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[5,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg7.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de contagem</div><div class="t m0 x10 hf y51 ff8 fsb fc0 sc0 ls0 ws14">Processo de nascimento não homogéneo</div><div class="t m0 x10 hf y52 ff8 fsb fc6 sc0 ls0 ws29">Um processo de nascimento não homogéneo é um p<span class="_1 blank"></span>ro<span class="_3 blank"> </span>cesso de contagem de Mark<span class="_1 blank"></span>ov tal que, para</div><div class="t m0 x10 h16 y53 ff8 fsb fc6 sc0 ls0 ws1a">todo<span class="_9 blank"> </span><span class="ffd ls42">h</span><span class="ffc ws2a">\u2212<span class="_5 blank"></span>\u2192 <span class="ff8 ls6">0</span><span class="ffe fse v4">+</span></span></div><div class="t m0 x11 hf y54 ffd fsb fc6 sc0 ls32">p<span class="fse ls25 v2">k<span class="ff13 ls0 ws27">,</span>k<span class="ffe ls27">+<span class="ff12 ls1a">1</span></span></span><span class="ffe ls0 ws1c">(</span><span class="ls3">t<span class="fff lsa">,</span><span class="ls3d">t<span class="ffe ls38">+</span><span class="ls34">h<span class="ffe ls0 ws23">) = <span class="fff ls43">\u03bb</span></span><span class="fse ls3b v2">k</span><span class="ffe ls0 ws1c">(</span></span></span>t<span class="ffe ls0 ws1c">)</span><span class="ls44">h<span class="ffe ls2a">+</span><span class="ls45">o<span class="ffe ls0 ws1c">(</span><span class="ls34">h<span class="ffe ls15">)<span class="fff ls21">,</span></span><span class="ls46">k<span class="ffe ls11">=<span class="ff8 ls6">0<span class="fff lsa">,</span>1<span class="fff ls12 ws22">,...<span class="_5 blank"></span></span></span></span></span></span></span></span></span></div><div class="t m0 x11 hf y55 ffd fsb fc6 sc0 ls32">p<span class="fse ls25 v2">k<span class="ff13 ls0 ws27">,</span>k<span class="ffe ls27">+</span><span class="ls1d">n</span></span><span class="ffe ls0 ws1c">(</span><span class="ls3">t<span class="fff lsa">,</span><span class="ls47">t<span class="ffe ls2a">+</span><span class="ls34">h<span class="ffe ls0 ws23">) = </span><span class="ls45">o<span class="ffe ls0 ws1c">(</span></span>h<span class="ffe ls15">)<span class="fff ls21">,</span></span><span class="ls46">k<span class="ffe ls11">=<span class="ff8 ls6">0<span class="fff lsa">,</span>1<span class="fff ls12 ws2b">,..., </span></span></span><span class="ls48">n<span class="ffe ls11">=<span class="ff8 ls6">2<span class="fff lsa">,</span>3<span class="fff ls12 ws22">,...<span class="_5 blank"></span></span></span></span></span></span></span></span></span></div><div class="t m0 x10 hf y56 ff8 fsb fc0 sc0 ls0 ws14">Processo de nascimento homogéneo</div><div class="t m0 x11 hf y57 ff8 fsb fc6 sc0 ls0 ws14">Caso particula<span class="_d blank"></span>r do anterior quando <span class="fff ls43">\u03bb<span class="ffd fse ls49 v2">k</span></span>é independente de <span class="ffd ls3">t</span>.</div><div class="t m0 x11 hf y58 ff8 fsb fc6 sc0 ls0 ws14">Um caso muito especial de um processo de nascimento homogéneo é o <span class="ff10 ws20">processo<span class="_9 blank"> </span>de<span class="_9 blank"> </span>Poisson</span></div><div class="t m0 x11 hf y59 ff8 fsb fc6 sc0 ls0 ws14">(homogéneo), que se obtém quando <span class="fff ls43">\u03bb<span class="ffd fse ls3b v2">k</span></span><span class="ffe ws1c">(<span class="ffd ls3">t</span><span class="ls4a">)</span></span>é constante, <span class="fff">\u03bb</span></div><div class="t m0 x10 hf y5a ff8 fsb fc0 sc0 ls0 ws14">Casos particula<span class="_d blank"></span>res</div><div class="t m0 x11 hf y5b fff fsb fc6 sc0 ls43">\u03bb<span class="ffd fse ls3b v2">k</span><span class="ffe ls0 ws1c">(<span class="ffd ls3">t</span><span class="ws23">) = </span></span>\u03bb<span class="ffd fse ls4b v2">k</span><span class="ff8 ls0 ws14">:<span class="_b blank"> </span>p<span class="_1 blank"></span>rocesso de nascimento homogéneo</span></div><div class="t m0 x11 hf y5c fff fsb fc6 sc0 ls43">\u03bb<span class="ffd fse ls3b v2">k</span><span class="ffe ls0 ws1c">(<span class="ffd ls3">t</span><span class="ws23">) = </span></span>\u03bb<span class="ff8 ls0 ws14">:<span class="_b blank"> </span>p<span class="_1 blank"></span>rocesso de Poisson homogéneo</span></div><div class="t m0 x11 hf y5d fff fsb fc6 sc0 ls43">\u03bb<span class="ffd fse ls3b v2">k</span><span class="ffe ls0 ws1c">(<span class="ffd ls3">t</span><span class="ws23">) = </span></span>\u03bb<span class="ffe ls15">(<span class="ffd ls37">t</span>)<span class="ff8 ls0 ws14">:<span class="_b blank"> </span>p<span class="_1 blank"></span>rocesso de Poisson não homogéneo</span></span></div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">7 / 16</span></div><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[6,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg8.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 hf y5e ff8 fsb fc0 sc0 ls0 ws14">Processo de Poisson homogéneo ou Processo de Poisson de intensidade <span class="fff">\u03bb</span></div><div class="t m0 x10 hf y5f ff8 fsb fc6 sc0 ls0 ws17">Processo<span class="_9 blank"> </span>de<span class="_c blank"> </span>contagem<span class="_9 blank"> </span><span class="ffc ws1b">{<span class="ffd lsc">N<span class="fse lsd v1">t</span></span>}<span class="ffd fse lse v2">t<span class="ff11 ls0 ws21">><span class="ff12 ls4c">0</span></span></span></span><span class="ws14">, com <span class="ffd ls4d">N</span><span class="ffe ws1c">(</span><span class="ls6">0</span><span class="ffe ws23">) = </span>0, tal que</span></div><div class="t m0 x1a hf y60 ff8 fsb fca sc0 ls0 ws2c">(i) <span class="ffc fc6 ls4e">{<span class="ffd ls0 ws1c">N<span class="fse lsd v1">t</span></span>}<span class="ffd fse lse v2">t<span class="ff11 ls0 ws21">><span class="ff12 lsf">0</span></span></span></span><span class="fc6 ws14">tem incrementos independentes</span></div><div class="t m0 x1b hf y61 ff8 fsb fca sc0 ls0 ws2d">(ii) <span class="ffc fc6 ls4e">{<span class="ffd ls0 ws1c">N<span class="fse lsd v1">t</span></span>}<span class="ffd fse lse v2">t<span class="ff11 ls0 ws21">><span class="ff12 lsf">0</span></span></span></span><span class="fc6 ws14">tem incrementos estacionários</span></div><div class="t m0 x1c h17 y62 ff8 fsb fca sc0 ls0 ws2e">(iii) <span class="ffc fc6 ls4f">\u2200<span class="ffd ls42">h</span><span class="ls0 ws2f">\u2212<span class="_5 blank"></span>\u2192 <span class="ff8 ls50">0<span class="ffe fse ls51 v4">+</span><span class="ls3e">,<span class="ffd ls33">P</span></span></span><span class="ffe ws1c">(<span class="ffd ls4d">N</span>(<span class="ffd ls34">h</span><span class="ls52">)<span class="ff16 ls53">><span class="ff8 ls6">1</span></span></span><span class="ws23">) = <span class="fff ws30">\u03bb<span class="ffd ls54">h</span></span><span class="ls38">+<span class="ffd ls45">o</span></span></span>(<span class="ffd ls2c">h</span>)</span></span></span></div><div class="t m0 x1c h17 y63 ff8 fsb fca sc0 ls0 ws31">(iv) <span class="ffc fc6 ls4f">\u2200<span class="ffd ls42">h</span><span class="ls0 ws2f">\u2212<span class="_5 blank"></span>\u2192 <span class="ff8 ls50">0<span class="ffe fse ls51 v4">+</span><span class="ls3e">,<span class="ffd ls33">P</span></span></span><span class="ffe ws1c">(<span class="ffd ls4d">N</span>(<span class="ffd ls34">h</span><span class="ls52">)<span class="ff16 ls53">><span class="ff8 ls6">2</span></span></span><span class="ws23">) = <span class="ffd ls45">o</span></span>(<span class="ffd ls34">h</span>)</span></span></span></div><div class="t m0 x10 hf y64 ff8 fsb fc0 sc0 ls0 ws32">Postulados</div><div class="t m0 x10 hf y65 ff8 fsb fc6 sc0 ls0 ws14">Os postulados anteriores po<span class="_3 blank"> </span>dem ser escritos da seguinte forma:</div><div class="t m0 x1d hf y66 ff8 fsb fca sc0 ls0 ws33">(i) <span class="fc6 ws34">Seja <span class="ffd ws1c">t<span class="ff12 fse ls23 v2">0</span><span class="ffe ls11">=</span></span><span class="ls55">0<span class="fff ls11"><</span></span><span class="ffd ws1c">t<span class="ff12 fse ls22 v2">1</span><span class="fff ls11"><<span class="ffc ls12 ws24">··· </span><</span>t<span class="fse ls56 v1">m</span></span><span class="ws14">.<span class="_b blank"> </span>As v.a.\u2019s <span class="ffd ls57">N</span><span class="ffe ws1c">((</span><span class="ls6">0<span class="fff ls58">,</span></span><span class="ffd ws1c">t<span class="ff12 fse ls4c v2">1</span><span class="ffe ws35">]) <span class="fff lsa">,</span></span><span class="ls57">N</span><span class="ffe">((</span>t<span class="ff12 fse ls4c v2">1</span><span class="fff ls58">,</span>t<span class="ff12 fse ls1a v2">2</span><span class="ffe ws36">]) <span class="fff ls12 ws22">,...,</span></span><span class="ls57">N</span><span class="ffe">((</span>t<span class="fse ls59 v2">m<span class="ff14 ls0 ws37">\u2212<span class="ff12 ls4c">1</span></span></span><span class="fff ls58">,</span>t<span class="fse ls5a v1">m</span><span class="ffe">])</span></span>, são</span></span></div><div class="t m0 x11 hf y67 ff8 fsb fc6 sc0 ls0 ws17">independentes.</div><div class="t m0 x1e h18 y68 ff8 fsb fca sc0 ls0 ws2d">(ii) <span class="ffc fc6 ls4f">\u2200<span class="ffd ls5b">t</span><span class="ls11">\u2265<span class="ff8 ls6">0<span class="fff ls58">,<span class="ffd ls42">h</span><span class="ls11">></span></span><span class="ls0 ws38">0, <span class="ffd ls57">N</span><span class="ffe ws1c">((<span class="ffd ls3">t<span class="fff lsa">,</span><span class="ls47">t</span></span><span class="ls2a">+<span class="ffd ls34">h</span></span><span class="ws39">]) <span class="ffd fse v5">d</span></span></span></span></span></span></span></div><div class="t m0 x1f hf y68 ffe fsb fc6 sc0 ls5c">=<span class="ffd ls57">N</span><span class="ls0 ws1c">((<span class="ff8 ls6">0<span class="fff lsa">,<span class="ffd ls34">h</span></span></span><span class="ws3a">]) <span class="ffc ls11">\u2261<span class="ffd ls5d">N</span></span><span class="ls15">(<span class="ffd ls34">h</span></span></span>)<span class="ff8">.</span></span></div><div class="t m0 x10 hf y69 ff8 fsb fca sc0 ls0 ws2e">(iii) <span class="ffc fc6 ls5e">\u2203</span><span class="fc6 ws3b">const. <span class="fff ws3c">\u03bb > </span>0:</span></div><div class="t m0 xa h19 y6a ffd fsb fc6 sc0 ls0 ws3d">Pr <span class="ffe lsb">[</span><span class="ls57">N</span><span class="ffe ws1c">((</span><span class="ls3">t<span class="fff lsa">,</span><span class="ls47">t<span class="ffe ls2a">+</span><span class="ls34">h</span></span></span><span class="ffe ws3a">]) <span class="ffc ls11">\u2265<span class="ff8 ls6">1</span></span><span class="ws23">] = <span class="fff ls43">\u03bb</span></span></span><span class="ls44">h<span class="ffe ls38">+</span><span class="ls5f">o</span></span><span class="ffe ws1c">(</span><span class="ls34">h</span><span class="ffe ws1c">)<span class="fff ls21">,</span><span class="ff8 ws3e">qdo </span></span><span class="ls42">h<span class="ffc ls60">\u2192<span class="ff8 ls6">0<span class="ffe fse ls61 v6">+</span><span class="ff15 ls62 v7">\ue012</span></span></span></span><span class="ws1c">lim<span class="fse ls63 v3">h<span class="ff14 ls64">\u2192<span class="ff12 ls35">0</span></span></span><span class="ffe fsc v8">+</span></span></div><div class="t m0 x20 h13 y6b ffd fsb fc6 sc0 ls45">o<span class="ffe ls0 ws1c">(</span><span class="ls34">h<span class="ffe ls0">)</span></span></div><div class="t m0 x21 h1a y6c ffd fsb fc6 sc0 ls65">h<span class="ffe ls1f v9">=<span class="ff8 ls6">0<span class="ff15 ls0 v7">\ue013</span></span></span></div><div class="t m0 x10 h17 y6d ff8 fsb fca sc0 ls0 ws3f">(iv) <span class="ffd fc6 ws3d">Pr <span class="ffe lsb">[</span><span class="ls57">N</span><span class="ffe ws1c">((</span><span class="ls3">t<span class="fff lsa">,</span><span class="ls47">t<span class="ffe ls2a">+</span><span class="ls34">h</span></span></span><span class="ffe ws3a">]) <span class="ffc ls1f">\u2265<span class="ff8 ls50">2</span></span><span class="ws23">] = </span></span><span class="ls45">o</span><span class="ffe ws1c">(</span><span class="ls2c">h</span><span class="ffe ws1c">)<span class="fff ls21">,</span><span class="ff8 ws3e">qdo </span></span><span class="ls48">h<span class="ffc ls60">\u2192<span class="ff8 ls6">0<span class="ffe fse ls66 v4">+</span><span class="ls0">.</span></span></span></span></span></div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">8 / 16</span></div><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[7,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bg9.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 hf y6e ff8 fsb fc0 sc0 ls0 ws14">Processo de Poisson não homogéneo Alguns Comentários</div><div class="t m0 x1e hf y6f ff8 fsb fca sc0 ls0 ws33">(i): <span class="fc6 ws1a">Eventos<span class="_c blank"> </span>indep endentes;</span></div><div class="t m0 x10 h18 y70 ff8 fsb fca sc0 ls0 ws33">(ii): <span class="fc6 ws40">Estacionaridade: <span class="ffd ls57">N</span><span class="ffe ws1c">((<span class="ffd ls28">s<span class="fff lsa">,</span><span class="ls37">t</span></span><span class="ws41">]) <span class="ffd fse v5">d</span></span></span></span></div><div class="t m0 x3 hf y70 ffe fsb fc6 sc0 ls67">=<span class="ffd ls4d">N</span><span class="ls0 ws1c">(<span class="ffd ls3d">t<span class="ffc ls38">\u2212</span><span class="ls28">s</span></span><span class="ls4a">)</span><span class="ff8 ws14">(número de eventos no intervalo </span>(<span class="ffd ls28">s<span class="fff lsa">,</span><span class="ls3">t</span></span><span class="lsb">]</span><span class="ff8 ws17">).<span class="_b blank"> </span>Processo</span></span></div><div class="t m0 x11 hf y71 ff8 fsb fc6 sc0 ls0">homogéneo.</div><div class="t m0 x6 hf y72 ff8 fsb fca sc0 ls0 ws42">(iii): <span class="ffb fc6 ws14">Lei dos Acontecimentos Ra<span class="_d blank"></span>ros</span></div><div class="t m0 x6 hf y73 ff8 fsb fca sc0 ls0 ws33">(iv): <span class="fc6 ws14">Ausência de eventos simultâneos</span></div><div class="t m0 x10 hf y74 ff8 fsb fc6 sc0 ls0 ws14">É su\ufb01ciente o conhecimento da distribuição <span class="ffd ls5d">N</span><span class="ffe ws1c">(<span class="ffd ls3">t</span>)</span>.</div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_7 blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">9 / 16</span></div><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[10,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[8,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[10,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c0cf8e72-71c8-4e7a-a671-7855ca8d642c/bga.png"><div class="t m0 x12 h10 y27 ff9 fsc fc8 sc0 ls0 ws18">Processos<span class="_a blank"> </span>de<span class="_a blank"> </span>P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 h11 y28 ffa fsd fc0 sc0 ls0 ws19">Pro<span class="_3 blank"> </span>cessos de P<span class="_1 blank"></span>oisson</div><div class="t m0 x10 hf y75 ff8 fsb fc0 sc0 ls0 ws14">Processo de Poisson não homogéneo</div><div class="t m0 x11 hf y76 ff8 fsb fc6 sc0 ls0 ws43">Se retirarmos o postulado (ii) e substituirmos (iii) de tal fo<span class="_1 blank"></span>rma que a intensidade do processo</div><div class="t m0 x11 hf y77 ff8 fsb fc6 sc0 ls0 ws17">depende<span class="_9 blank"> </span>de<span class="_c blank"> </span><span class="ffd ls3">t</span><span class="ws14">, obtém-se o processo de Poisson não homogéneo</span></div><div class="t m0 x10 hf y78 ff8 fsb fc0 sc0 ls0 ws14">Processo de Poisson generalizado</div><div class="t m0 x11 hf y79 ff8 fsb fc6 sc0 ls0 ws14">Se retirarmos o postulado (iv), otém-se o processod e Poisson generalizado</div><div class="t m0 x10 hf y7a ff8 fsb fc0 sc0 ls0 ws14">Discussão dos postulados</div><div class="t m0 x22 h1b y7b ff17 fsf fca sc0 ls0 ws44">(i) <span class="fc6 ws45">:<span class="_e blank"> </span>Excluem-se reações em cadeia (p<span class="_3 blank"> </span>or exemplo incêndios ou epidemias)</span></div><div class="t m0 x1d h1b y7c ff17 fsf fca sc0 ls0 ws44">(ii)/(iii) <span class="fc6 ws45">:<span class="_e blank"> </span>Existem situações em que não são veri\ufb01cadas (p.e.<span class="_e blank"> </span>sazonalidade).<span class="_e blank"> </span>Nalguns casos o temp<span class="_3 blank"> </span>o</span></div><div class="t m0 x23 h1b y7d ff17 fsf fc6 sc0 ls0 ws45">po<span class="_3 blank"> </span>de ser divido em subintervalos, considerando-se subprocessos com diferentes intensidades.</div><div class="t m0 x11 h1b y7e ff17 fsf fca sc0 ls0 ws44">(iv) <span class="fc6 ws45">:<span class="_e blank"> </span>Esta limitação po<span class="_3 blank"> </span>de ser sup<span class="_3 blank"> </span>erada.<span class="_e blank"> </span>P<span class="_1 blank"></span>or exemplo, um acidente envolvendo dois automóveis,</span></div><div class="t m0 x23 h1b y7f ff17 fsf fc6 sc0 ls0 ws45">segurados na mesma companhia, po<span class="_3 blank"> </span>de ser considerado como ap<span class="_3 blank"> </span>enas um sinistro.</div><div class="t m0 xe h10 y26 ff9 fsc fc6 sc0 ls0 ws15">Alexandra Bugalho de Moura<span class="_6 blank"> </span>Processos Esto<span class="_3 blank"> </span>cástico, UEM<span class="_f blank"> </span>Agosto 2017<span class="_8 blank"> </span><span class="fc7">10 / 16</span></div><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:228.818000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:234.796000px;bottom:8.215000px;width:9.962000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[11,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:242.766000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[9,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:250.870000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[10,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:255.852000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[10,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:260.833000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[11,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:265.814000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:272.922000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:277.904000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[12,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:282.885000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[13,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:287.866000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[2,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:294.974000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[3,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:299.956000px;bottom:8.215000px;width:6.973000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:304.937000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:309.918000px;bottom:8.215000px;width:6.974000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:317.026000px;bottom:8.215000px;width:10.959000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[16,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:325.993000px;bottom:8.215000px;width:12.951000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div></a><div class="d m2" style="border-style:none;position:absolute;left:339.078000px;bottom:8.215000px;width:8.967000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:346.052000px;bottom:8.215000px;width:7.970000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><div class="d m2" style="border-style:none;position:absolute;left:352.030000px;bottom:8.215000px;width:8.966000px;height:9.465000px;background-color:rgba(255,255,255,0.000001);"></div><a class="l" data-dest-detail='[10,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:117.478000px;bottom:266.132000px;width:60.493000px;height:6.250000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail='[1,"XYZ",7.468,273.126,null]'><div class="d m2" style="border-style:none;position:absolute;left:142.221000px;bottom:0.516000px;width:78.387000px;height:6.320000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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